AlgebraEasyTranslating 'less than' into an inequality
Algebra practice question
A number x decreased by 7 is less than 10. Which inequality represents this statement?
- A. x − 7 < 10Correct
- B. 7 − x < 10
- C. x − 7 > 10
- D. x − 7 ≤ 10
Answer: A. x − 7 < 10
'x decreased by 7' is x − 7; 'is less than 10' is < 10. So x − 7 < 10.
Why the other answers are wrong
- B. 7 − x < 10
- 7 − x is '7 decreased by x', the reverse of what was said.
- C. x − 7 > 10
- 'Less than' is <, not >.
- D. x − 7 ≤ 10
- 'Less than' is strict; ≤ would mean 'at most 10'.
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